Proportional Relationships and Equations

​Proportional Relationships and Equations

y=kx, where k is the constant of proportionality

​A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions.

Given the points values of 2 and 6 in the table calculate the constant of proportionality in this situation. The is the number you would multiply the cups of rice by to get the number of people it could serve.

Multiple Choice

How many people can I cup of rice serve?

• 3 people

• 6 people

• 2 people

• 4 people

Multiple Choice

How many people can 3 cups of rice serve?

• 20 people

• 6 people

• 8 people

• 9 people

Multiple Choice

How many people can 12 cups of rice serve?

• 248people

• 36 people

• 30 people

• 24 people

Multiple Choice

How do you calculate how many people can 43 cups of rice serve?

• $$43\times3=129$$

• $$\frac{43}{3}=21$$

• $$43\times\frac{1}{3}=21$$

Multiple Choice

Which expression can be used to show how many people an unknown amount of $$x$$ cups of rice

• $$3x$$

• $$13x$$

• $$\frac{1}{3}x$$

​What constant of proportionality do you see given the two numbers in the table.

Multiple Choice

How many people can 1 spring roll serve?

• $$\frac{1}{2}$$

• $$1$$

• $$2$$

• 6

Multiple Choice

How many people can 10 spring rolls serve?

• $$4$$

• $$6$$

• $$8$$

• $$5$$

Multiple Choice

How many people can 16 spring rolls serve?

• $$4$$

• $$6$$

• $$8$$

• $$5$$

Multiple Choice

How many people can 25 spring rolls serve?

• $$14$$

• $$12.5$$

• $$25$$

• $$7.5$$

Multiple Choice

How many people can $$n$$ spring rolls serve?

• $$2n$$

• $$12n$$

• $$\frac{1}{2}n$$

• $$7.5n$$

Multiple Choice

What equation could be used to describe how many people $$p$$ , $$n\$$ spring rolls can serve?

• $$p=\frac{1}{2}n$$

• $$p=2n$$

• $$p=10n$$

• $$p=7.5n$$

Multiple Choice

If a plane travels 915 miles in 1.5 hours what is its speed in miles per hour?

• 915 mph

• 1830 mph

• 610 mph

• 305 mph

Multiple Choice

If a plane travels 610 mph, how far does it go in 2 hours.

• 1525 miles

• 1830 miles

• 610 miles

• 1220 miles

Multiple Choice

If a plane travels 610 mph, how far does it go in 2.5 hours.

• 1525 miles

• 1830 miles

• 610 miles

• 1220 miles

Multiple Choice

If a plane travels 610 mph, how far does it go in t hours.

• $$610t$$

• $$1220t$$

• $$\frac{t}{610}$$

• $$\frac{610}{t}$$

Multiple Choice

Which equation could be used to calculate the distance $$d$$ , the plane travels in $$t,\ hours?$$

• $$d=610t$$

• $$d=1220t$$

• $$d=\frac{t}{610}$$

• $$d=\frac{610}{t}$$

Multiple Choice

If $$d=610t\$$ represents the distnance d a plane can travle in t hours, how many miles does it go in 3 hours?

• 1,830 miles

• 2,135 miles

Multiple Choice

If $$d=610t\$$ represents the distnance d a plane can travle in t hours, how many miles does it go in 3.5 hours?

• 1,830 miles

• 2,135 miles

​Complete the table by choosing the appropriate number that go in the table from the top to the bottom!

Drag and Drop

Drag and Drop what goes in the blanks next to each number in the table.

1, ​

Placeholder

16, ​

Placeholder

20, ​

Placeholder

h, ​

Placeholder

Drag these tiles and drop them in the correct blank above

Multiple Choice

If $$f$$ is the cups of flour needed for $$h$$ tablespoons of honey, write an equation that relates $$f\ and\ h$$ .

• $$f=\frac{5}{4}h$$

• $$f=4h$$

• $$f=5h$$

• $$f=\frac{4}{5}h$$

Multiple Choice

• $$y=\frac{1}{2}x$$

• $$y=2x$$

• $$y=3x$$

• $$y=4x$$

Multiple Choice

• $$y=\frac{1}{2}x$$

• $$y=6x$$

• $$y=18x$$

• $$y=2x$$

Multiple Choice

• $$y=\frac{1}{2}x$$

• $$y=4x$$

• $$y=3x$$

• $$y=18x$$

Multiple Choice

• $$y=12x$$

• $$y=24x$$

• $$y=72x$$

• $$y=18x$$

Multiple Choice

• $$y=4x$$

• $$y=8x$$

• $$y=16x$$

• $$y=24x$$

Multiple Choice

• $$y=1x$$

• $$y=30x$$

• $$y=5x$$

• $$y=24x$$

Multiple Choice

• $$y=1x$$

• $$y=30x$$

• $$y=5x$$

• $$y=24x$$

Multiple Choice

• $$y=20x$$

• $$y=14x$$

• $$y=15x$$

• $$y=42x$$

Multiple Choice

• $$y=30x$$

• $$y=11x$$

• $$y=22x$$

• $$y=2x$$

Multiple Choice

• $$y=18x$$

• $$y=3x$$

• $$y=17x$$

• $$y=2x$$

Multiple Choice

• yes

• no

Multiple Choice

• yes

• no

Multiple Choice

Which equations models the table.

• $$y=0.64x$$

• $$y=3.2x$$

• $$y=22.4x$$

​The End.